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Finding the Fourth Proportional to 52,065.94, 78,101.93 and 14,628.93

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Solution

The fourth proportional to 52,065.94, 78,101.93 and 14,628.93 is: 21,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,065.94 : 78,101.93 = 14,628.93 : x
  2. Step 2: Convert to fraction form
    52,065.94/78,101.93 = 14,628.93/x
  3. Step 3: Cross multiply
    52,065.94x = 78,101.93 × 14,628.93
  4. Step 4: Simplify right side
    52,065.94x = 1,142,547,703.41
  5. Step 5: Solve for x
    x = 1,142,547,703.41/52,065.94
  6. Step 6: Final answer
    x = 21,944.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.